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Finding the Fourth Proportional to 233,763, 322,592.94 and 127,779

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Solution

The fourth proportional to 233,763, 322,592.94 and 127,779 is: 176,335.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,763 : 322,592.94 = 127,779 : x
  2. Step 2: Convert to fraction form
    233,763/322,592.94 = 127,779/x
  3. Step 3: Cross multiply
    233,763x = 322,592.94 × 127,779
  4. Step 4: Simplify right side
    233,763x = 41,220,603,280.26
  5. Step 5: Solve for x
    x = 41,220,603,280.26/233,763
  6. Step 6: Final answer
    x = 176,335.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.